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6(3x-5)-3(3x-15)=4(2x+4)-9
We simplify the equation to the form, which is simple to understand
6(3x-5)-3(3x-15)=4(2x+4)-9
Reorder the terms in parentheses
+(+18x-30)-3*(3x-15)=4*(2x+4)-9
Remove unnecessary parentheses
+18x-30-3+*(+3x-15+)=+4+*(+2x+4+)-9
Reorder the terms in parentheses
+18x-30+(-9x+45)=4*(2x+4)-9
Remove unnecessary parentheses
+18x-30-9x+45=+4+*(+2x+4+)-9
Reorder the terms in parentheses
+18x-30-9x+45=+(+8x+16)-9
Remove unnecessary parentheses
+18x-30-9x+45=+8x+16-9
We move all terms containing x to the left and all other terms to the right.
+18x-9x-8x=+16-9+30-45
We simplify left and right side of the equation.
+1x=-8
We divide both sides of the equation by 1 to get x.
x=-8
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